GATE AG 2010 • Q64 MCQ • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Thermodynamic principles of I.C. engines

Question Statement:

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

Options:

  • (A) 20 days
  • (B) 18 days
  • (C) 16 days
  • (D) 15 days

Official Answer Key:

D

Step-by-Step Solution & Explanation

Per-worker daily rate (wall/person-day): skilled = 1/(5×20) = 1/100; semi-skilled = 1/(8×25) = 1/200; unskilled = 1/(10×30) = 1/300. Team's combined daily rate = 2×(1/100) + 6×(1/200) + 5×(1/300) = 0.02+0.03+0.01667 = 0.06667 wall/day. Time = 1/0.06667 = 15 days.

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